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Finding the Fourth Proportional to 21,592.86, 32,316.13 and 13,278.14

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Solution

The fourth proportional to 21,592.86, 32,316.13 and 13,278.14 is: 19,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,592.86 : 32,316.13 = 13,278.14 : x
  2. Step 2: Convert to fraction form
    21,592.86/32,316.13 = 13,278.14/x
  3. Step 3: Cross multiply
    21,592.86x = 32,316.13 × 13,278.14
  4. Step 4: Simplify right side
    21,592.86x = 429,098,098.40
  5. Step 5: Solve for x
    x = 429,098,098.40/21,592.86
  6. Step 6: Final answer
    x = 19,872.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.